Abstract
Summary This paper considers single-phase unsteady flow in a system of homogeneous layers separated by thin, low-permeability shales, and having interlayer crossflow caused by different diffusivities for different layers. The model considers all layers open to a single well that flows at a constant total rate. Numerical simulations of the problem for the semipermeable-wall model are used to find the structure of the crossflows in typical cases. Analytic solutions for pressure and the n − 1 diffusivity crossflows are developed and compared with the numerical results. These solutions show how the diffusivity crossflows depend on layer properties and ordering. Their behavior and properties are discussed and their effects on pressure distributions are shown.
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